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Simplifying -8(2b + 3) + (17b + -7) = 0 Reorder the terms: -8(3 + 2b) + (17b + -7) = 0 (3 * -8 + 2b * -8) + (17b + -7) = 0 (-24 + -16b) + (17b + -7) = 0 Reorder the terms: -24 + -16b + (-7 + 17b) = 0 Remove parenthesis around (-7 + 17b) -24 + -16b + -7 + 17b = 0 Reorder the terms: -24 + -7 + -16b + 17b = 0 Combine like terms: -24 + -7 = -31 -31 + -16b + 17b = 0 Combine like terms: -16b + 17b = 1b -31 + 1b = 0 Solving -31 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 1b = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 1b = 0 + 31 1b = 0 + 31 Combine like terms: 0 + 31 = 31 1b = 31 Divide each side by '1'. b = 31 Simplifying b = 31
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